Nonlinear Approaches in Engineering Applications
Nonlinear Approaches in Engineering Applications focuses on nonlinear phenomena that are common in the engineering field. The nonlinear approaches described in this book provide a sound theoretical base and practical tools to design and analyze engineerin
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Liming Dai • Reza N. Jazar Editors
Nonlinear Approaches in Engineering Applications
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Editors Liming Dai Industrial Systems Engineering University of Regina Regina, SK, Canada [email protected]
Reza N. Jazar School of Aerospace, Mechanical, and Manufacturing Engineering RMIT University Melbourne, VIC, Australia [email protected]
ISBN 978-1-4614-1468-1 e-ISBN 978-1-4614-1469-8 DOI 10.1007/978-1-4614-1469-8 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2011942901 © Springer Science+Business Media, LLC 2012 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Dedicated to our wives Xinming and Mojgan
Being smart means: do not keep your smartness at the level that is needed for your job
Preface
The initiation of this book started with the discussions in the ASME 2010 and 2009 Congress in the track of Dynamics Systems and Control, Optimal Approaches in Nonlinear Dynamics and Acoustics, which were organized by the editors. Since the 1980s, many new nonlinear approaches and techniques have been developed and the research on nonlinear science and dynamics have brought new insights in our dealing with nonlinear and complex systems in nature, engineering, and society. Although more and more such approaches and techniques have been brought into research and engineering practices, linearization and simplification are still the dominating approaches existing in physics and engineering. Strictly and precisely speaking, our nature is nonlinear. All the phenomena in nature and all the responses of physics and engineering systems are nonlinear. Linearization means simplification, and it damages the original natural or characteristics of the systems and may lead to inaccuracy, misunderstanding, or even incorrect conclusions in comprehending the physics and engineering systems we are trying to manage. Hooke’s law including the generalized Hooke’s law, for example, is linear and it composes the foundation of linear elasticity and dominates numerous solutions of physical systems and mechanical designs. However, no material is perfectly linear. Although most plain carbon steels are considered as materials obey Hooke’s law in engineering practice, for instance, it is a common knowledge to the material scientists these
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